Aubrey Hendricks
2022-01-21
Answered

What is the cross product of [3,1,-4] and [1,1,18]

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SaphypycleDapc5

Answered 2022-01-22
Author has **11** answers

The vector cross product of two 3-dimesnional vectors in the vector space $\mathbb{R}}^{3$ may be computed as a matrix determinant

$(3,1,-4)\times (1,1,18)=\left[\begin{array}{ccc}\overrightarrow{i}& \overrightarrow{j}& \overrightarrow{k}\\ 3& 1& -4\\ 1& 1& 18\end{array}\right]$

$=\overrightarrow{i}(18+4)-\overrightarrow{j}(54-1)+\overrightarrow{k}(3-1)$

$=22\overrightarrow{i}-\overrightarrow{j}53+2\overrightarrow{k}$

$=(22,-53,2)$

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